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- W4288334361 abstract "In the standard theory of delay equations, the fundamental solution does not 'live' in the state space. To eliminate this age-old anomaly, we enlarge the state space. As a consequence, we lose the strong continuity of the solution operators and this, in turn, has as a consequence that the Riemann integral no longer suffices for giving meaning to the variation-of-constants formula. To compensate, we develop the Stieltjes-Pettis integral in the setting of a norming dual pair of spaces. Part I provides general theory, Part II deals with retarded equations, and in Part III we show how the Stieltjes integral enables incorporation of unbounded perturbations corresponding to neutral delay equations." @default.
- W4288334361 created "2022-07-28" @default.
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- W4288334361 date "2019-06-08" @default.
- W4288334361 modified "2023-10-18" @default.
- W4288334361 title "Twin semigroups and delay equations" @default.
- W4288334361 doi "https://doi.org/10.48550/arxiv.1906.03409" @default.
- W4288334361 hasPublicationYear "2019" @default.
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